LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO

Answer:

a(87) = -590

Step-by-step explanation:

Notice how each term of this arithmetic sequence is equal to the sum of the previous term and the common difference, -12.

The general formula a(n) = a(1) + (n - 1)d becomes:

                                    a(n) = 12 - 7(n - 1)

and the 87th term        a(87) = 12 - 7(87 - 1), or

                                      a(87) = 12 - 7(86)

                                       a(87) = -590

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.

Step-by-step explanation:

1/x^24 is the correct expression

Answer:

Step-by-step explanation:

Arc CAB through E is just the sum of the 3 minor arcs you are given

Arc CEB = 53 + 79 + 68

Arc CEB = 200

Answer:

(fog)(x) = x

Step-by-step explanation:

Composite function:

[tex](f \circ g)(x) = f(g(x))[/tex]

Composite of a function and its inverse.

The composition of a function and it's inverse is the straight line x. So

[tex](f \circ f^{-1})(x) = x[/tex]

f = {(1,6), (4,7), (5,0)) and g = {(6,1), (7,4), (0,5)}

We can see that the x-values in f are the y-values for g, and the y-values for f are the x-values for g, that is, f and g are inverse functions. Thus:

(fog)(x) = x

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Answer:

y = 1/3 x - 1

Step-by-step explanation:

use slope formula then substitute an x and y and the m to find b

y=mx+b

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

[tex]h=2x[/tex]

The volume of a cuboid is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get

[tex]2000=x\times x\times 2x[/tex]

[tex]2000=2x^3[/tex]

Divide both sides by 2.

[tex]1000=x^3[/tex]

Taking cube root on both sides.

[tex]\sqrt[3]{1000}=x[/tex]

[tex]10=x[/tex]

Now, the height of the container is:

[tex]h=2x[/tex]

[tex]h=2(10)[/tex]

[tex]h=20[/tex]

Therefore, the height of the container is 20 cm.

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

Answer:

x = 46

Step-by-step explanation:

Vertical angles are equal so call the angle y

85+53 +y =y+ 92+x

Subtract y from each side

85+53  = 92+x

Combine like terms

138 = 92+x

Subtract 92 from each side

138 -92 = 92+x-92

46 =x

Answer:

Nnamdi Azikiwe

Step-by-step explanation:

he was the first one

Answer:

He needs to earn a 94%.

Step-by-step explanation:

[tex]\frac{82+88+96+x}{4} = 90\\ \\ \frac{266+x}{4} =90\\\\ 4(\frac{266+x}{4}) =(90)4\\ \\ 266+x = 360\\ \\ 266+x-266 =360-266\\ \\ \\x = 94[/tex]

He must earn a 94% on his latest test for a test average of 90%

Answer:

T=-13

Step-by-step explanation:

substitute T=3*5+4*(-7)

the product:T=15-28

the sum:T=-13

Answer:

report me I want deleted:)

D. 3√14 /14

Step-by-step explanation:

given that cot(θ)= -√5/3 and cos(θ) < 0

cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.

cot(θ)= -√5/3 => x = -√5 , y = 3

h = √(-3)²+5 =√14

so, sin(θ) = y/h = 3/√14 = 3√14 /14

Answer:

R12,950.00

Step-by-step explanation:

We solve using the formula

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year.

Solving our equation:

A = 6475(1 + (0.2 × 5)) = 12950

A = R12,950.00

Therefore, the amount he will pay after 5 years is R12,950.00

Step-by-step explanation:

The y intercept is when x=0 what is the y value.

When x=0, the y intercept is 1.

b. A gradient is the slope of the line. We need to find the rise and run of the line between two points.

Let use points 0,1 and 1,3

Our y values rise by 2 values and our x values change by 1 value so our slope is

[tex] \frac{2}{1} = 2[/tex]

Answer:

a. At the y-intercept,x=0

This implies the y-intercept=1

b. Taking points (0,1) and (1,3), the gradient of the line is given by (3-1)/(1-0) =2/1 =2

Answer:

3s + 5t = 779

Step-by-step explanation:

Answer:

3 5 779

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

-they do not have the same slope

-their lines are not parallel

there's probably more but i cant quite think of it as of now

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

Answer:

33

Step-by-step explanation:

most dots above that point

Step-by-step explanation:

-1×5 1×3

------ -----

3×5 -5×3

=

-5/15 -3/15

-5/15×4/4 ;

-3/15×4/4

=

-20/60 ;

-12/60

you can write any 8 rational no. between them

please mark as brainliest answer as it will also give you 3 pts

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

= 1,6 + 6,13

= 7,73 .

FollowMe? FollowBack.

Answer:

Step-by-step explanation:

1,6

6,13 +

7,73

Check the picture below.

so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.

[tex]\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}[/tex]

[tex]\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill[/tex]

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)–t

2160 - t